Complementary angles are two angles that add up to 90°, or a right angle; two supplementary angles add up to 180°, or a straight angle. By Mark Ryan . Example 1. For example, angle 130° and angle 50° are supplementary because on adding 130° and 50° we get 180°. Angles measuring 1 degree and 89 degrees. Examples of Complementary Angles. In this case, \(\angle 1\) and \(\angle 2\) are called complements of each other.. The definition of supplementary is two angles whose sum is 180° are supplementary. These angles aren’t the most exciting things in geometry, but you have to be able to spot them in a diagram and … 1) Adjacent Supplementary Angles: Two angles are adjacent supplementary angles if they share a common vertex and a common arm. Given m 1 = 45° and m 2=135° determine if the two angles are supplementary. The angles can be either adjacent (share a common side and a common vertex and are side-by-side) or non-adjacent. Example Question #1 : Supplementary Angles. Here, \(60^\circ+30^\circ = 90^\circ\) Hence, from the "Definition of C omplementary Angles", these two angles are complementary.. Each angle among the complementary angles is called the "complement" of the other angle. Here's another problem where we don't know either angle, so it's a little harder to set up. If sum of two angles is 180°, they are supplementary.For example60° + 120° = 180°Since, sum of both angles is 180°So, they are supplementaryAre these anglessupplementary?68° + 132° = 200°≠ 180°Since, sum of both the angles is not 180°So, they arenot supplementaryAre these angles supplementary?100° + Common examples of complementary angles are: Two angles measuring 45 degrees each. For example, you could also say that angle a is the complement of angle b. Again, angles do not have to be adjacent to be supplementary. What angle is supplementary to 54 degrees? An example of adjacent supplementary angles is given below: (Diagram: Heading – Adjacent Supplementary Angles, File name: Adjacent Supplementary Angles) Nonadjacent supplementary angles Example: Two adjacent oblique angles make up straight angle POM below. Their sum is 180 degrees, and they form a straight like when put together. We know that supplementary angles always add up to 180 degrees. Each angle is called the supplement of the other. Complimentary angle can be adjacent angles. The following angles are also supplementary since the sum of the measures equal 180 degrees Let's say the smaller angle is x. 45° + 135° = 180° therefore the angles are supplementary. They don't have to be next to each other, just so long as the total is 180 degrees. An example would be two angles that are 50 and 130. For example, ∠ STA= 65 degrees and ∠ATR= 25 degrees are complementary angles … To find the other angle, we will need to subtract 54 from 180. Let's look at a few examples involving supplementary angles. The two supplementary angles, if joined together, form a straight line and a straight angle. Examples: • 60° and 120° are supplementary angles. Adjacent supplementary angles where ∠AOC is a straight angle. This means we can set up and equation and solve it to find the missing angle. Two Angles are Supplementary when they add up to 180 degrees. • 93° and 87° are supplementary angles. Similarly, complementary angles add up to 90 degrees. The two angles are supplementary so, we can find the measure of angle PON, Possible Answers: Correct answer: Explanation: Supplementary angles must add up to 180 degrees. Supplementary angles are angles whose sum is 180 degrees. Angles measuring 30 and 60 degrees. Try dragging the points below: Supplementary angles can be adjacent or nonadjacent. Angles with a sum of 180 degrees. Supplementary angles are those angles that measure up to 180 degrees.